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Finding the Fourth Proportional to 5,077.86, 7,006.86 and 2,839.74

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Solution

The fourth proportional to 5,077.86, 7,006.86 and 2,839.74 is: 3,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.86 : 7,006.86 = 2,839.74 : x
  2. Step 2: Convert to fraction form
    5,077.86/7,006.86 = 2,839.74/x
  3. Step 3: Cross multiply
    5,077.86x = 7,006.86 × 2,839.74
  4. Step 4: Simplify right side
    5,077.86x = 19,897,660.62
  5. Step 5: Solve for x
    x = 19,897,660.62/5,077.86
  6. Step 6: Final answer
    x = 3,918.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.